Question

a rectangle is 5cm long and 3cm wide. its perimeter is doubled when each of its sides is increased by x cm. find an equation in x and find its new length​

Answer 1

Answer:

he has not try again later the plant that grow up a

Answer 2

Answer:

13 cm

Step-by-step explanation:

Perimeter (P) = 5 + 3 + 5 + 3 = 16 cm.

This can also be written as...

Perimeter (P) = 2 × 5 + 3 × 2 = 16 cm

Then in the next situation...

Length = (5 + $x$)

Width = (3 + $x$)

2P = 2(5 + $x$) + 2(3 + $x$) . Then simplify this...

2 ×  16 = (2 × 5 + 2 × $x$) + (2 × 3 + 2 ×

     32 = 10 + $x$ + 6 +

     32 = 16 + 2$x$

32- 16 = 16 + 2$x$ - 16

      $\frac{16}{2}$ = $\frac{2x}{2}$

      $x$  =  8 cm

Length =  (5 + $x$)

Replace $x$ with 8 cm to find the new length.

New length =  (5 + 8)

                   = 13 cm